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Filename : GUTS.DOC

 
Output of file : GUTS.DOC contained in archive : GUTS.ZIP

Program: Guts.exe (windows application)
Author : Wes Cherry (wesc) 3.1147
Release: Beta


EQUATIONS OF MOTION:
--------------------

Force & Acceleration:
---------------------

Uses a modified version of the uniform graviatitional formula:
(Inverse rather than inverse squared)

m * m m * m
F = G ----- rather than F = G -----
r r*r

This is done becuase the patterns are more interesting and it avoids having
to compute a square root when converting F to it's component vectors.

Derivation:

m2
|\
| \ Given:
^ | \ m1*m2
y | \ F = G -------
|___0\m1 r

x>

(0 = theta)


Fy = F Sin 0; Sin 0 = y/r

m1*m2 y
Fy = G ----- * -
r r

Ay = Fy / m1

So:

m1 * y
Ay = G --------
r * r


For x & z the equations are the same.

Since each body attracts each other, the acceleration is computed for each
body to all other bodies.



Velocity & Position:
--------------------

Since

dV/dt = A, dV = Adt
& dX/dt = V, dX = Vdt